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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 802 · 40 questions
TalentJR

How to think it through (30h − 5.5m): Minute hand angle (from 12) = minutes × 6. Hour hand angle = hours × 30 + minutes × 0.5. Angle between them = the difference; if it is more than 180°, take it away from 360°.

NameDateTime takenScore ___ / 40
  1. 1.How many degrees does the minute hand of a clock turn in 48 minutes? =
  2. 2.A clock shows 2:09. What time will it show 41 minutes later? (a) 3:50 (b) 2:50 (c) 2:40 (d) 3:00
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:03? (in degrees) =
  4. 4.A clock shows 11:52. What time will it show 44 minutes later? (a) 1:36 (b) 12:36 (c) 12:26 (d) 12:46
  5. 5.A clock shows 6:34. What time will it show 26 minutes later? (a) 6:50 (b) 7:00 (c) 8:00 (d) 7:10
  6. 6.A clock shows 4:23. What time will it show 89 minutes later? (a) 6:02 (b) 5:52 (c) 6:52 (d) 5:42
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
  8. 8.A clock shows 11:32. What time will it show 82 minutes later? (a) 1:04 (b) 12:44 (c) 1:54 (d) 12:54
  9. 9.What is the smaller angle between the hour hand and the minute hand at 4:39? (in degrees) =
  10. 10.A clock shows 7:19. What time will it show 62 minutes later? (a) 8:31 (b) 9:21 (c) 8:21 (d) 8:11
  11. 11.A clock shows 3:57. What time will it show 50 minutes later? (a) 5:47 (b) 4:57 (c) 4:47 (d) 4:37
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:07? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 12:13? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:12? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 56 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:35? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 5:56? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 21 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:41? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
  25. 25.A clock shows 9:59. What time will it show 85 minutes later? (a) 11:34 (b) 12:24 (c) 11:24 (d) 11:14
  26. 26.How many degrees does the minute hand of a clock turn in 29 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 7:56? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:39? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 14 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 54 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 19 minutes? =
  34. 34.A clock shows 1:00. What time will it show 154 minutes later? (a) 3:44 (b) 4:34 (c) 3:24 (d) 3:34
  35. 35.How many degrees does the hour hand of a clock turn in 88 minutes? =
  36. 36.A clock shows 12:38. What time will it show 110 minutes later? (a) 2:28 (b) 2:18 (c) 3:28 (d) 2:38
  37. 37.How many degrees does the hour hand of a clock turn in 78 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 169 minutes? =
  40. 40.A clock shows 8:16. What time will it show 84 minutes later? (a) 9:50 (b) 9:30 (c) 10:40 (d) 9:40

Answer key

  1. 288
  2. 2:50
  3. 16.5
  4. 12:36
  5. 7:00
  6. 5:52
  7. 2
  8. 12:54
  9. 94.5
  10. 8:21
  11. 4:47
  12. 36
  13. 171.5
  14. 71.5
  15. 96
  16. 336
  17. 102.5
  18. 158
  19. 126
  20. 25
  21. 180
  22. 164.5
  23. 27
  24. 8
  25. 11:24
  26. 174
  27. 98
  28. 34.5
  29. 168
  30. 60
  31. 7
  32. 324
  33. 9.5
  34. 3:34
  35. 44
  36. 2:28
  37. 39
  38. 40.5
  39. 84.5
  40. 9:40

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